document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174203>Question 174203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify<BR>\n" );
document.write( "1. 2z+1/3z-z-6/5z\r<BR>\n" );
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document.write( "1. 5b^2-15b=0<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129138 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129138\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "Problem: \r<BR>\n" );
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document.write( "1. 2z+1/3z-z-6/5z\r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282z%2B1%29%2F%283z%29-%28z-6%29%2F%285z%29 ALIGN=MIDDLE  ALT=\"%282z%2B1%29%2F%283z%29-%28z-6%29%2F%285z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F5%29%28%282z%2B1%29%2F%283z%29%29-%28z-6%29%2F%285z%29 ALIGN=MIDDLE  ALT=\"%285%2F5%29%28%282z%2B1%29%2F%283z%29%29-%28z-6%29%2F%285z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the 1st fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282z%2B1%29%2F%283z%29 ALIGN=MIDDLE  ALT=\"%282z%2B1%29%2F%283z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F5 ALIGN=MIDDLE  ALT=\"5%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%282z%2B1%29%29%2F%285%283z%29%29-%28z-6%29%2F%285z%29 ALIGN=MIDDLE  ALT=\"%285%282z%2B1%29%29%2F%285%283z%29%29-%28z-6%29%2F%285z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810z%2B5%29%2F%285%283z%29%29-%28z-6%29%2F%285z%29 ALIGN=MIDDLE  ALT=\"%2810z%2B5%29%2F%285%283z%29%29-%28z-6%29%2F%285z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810z%2B5%29%2F%2815z%29-%28z-6%29%2F%285z%29 ALIGN=MIDDLE  ALT=\"%2810z%2B5%29%2F%2815z%29-%28z-6%29%2F%285z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810z%2B5%29%2F%2815z%29-%283%2F3%29%28%28z-6%29%2F%285z%29%29 ALIGN=MIDDLE  ALT=\"%2810z%2B5%29%2F%2815z%29-%283%2F3%29%28%28z-6%29%2F%285z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Multiply the 2nd fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z-6%29%2F%285z%29 ALIGN=MIDDLE  ALT=\"%28z-6%29%2F%285z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F3 ALIGN=MIDDLE  ALT=\"3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810z%2B5%29%2F%2815z%29-%283%28z-6%29%29%2F%283%285z%29%29 ALIGN=MIDDLE  ALT=\"%2810z%2B5%29%2F%2815z%29-%283%28z-6%29%29%2F%283%285z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810z%2B5%29%2F%2815z%29-%283z-18%29%2F%283%285z%29%29 ALIGN=MIDDLE  ALT=\"%2810z%2B5%29%2F%2815z%29-%283z-18%29%2F%283%285z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810z%2B5%29%2F%2815z%29-%283z-18%29%2F%2815z%29 ALIGN=MIDDLE  ALT=\"%2810z%2B5%29%2F%2815z%29-%283z-18%29%2F%2815z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
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document.write( "Now that the fractions have equal denominators, we can combine them:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810z%2B5-%283z-18%29%29%2F%2815z%29 ALIGN=MIDDLE  ALT=\"%2810z%2B5-%283z-18%29%29%2F%2815z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810z%2B5-3z%2B18%29%2F%2815z%29 ALIGN=MIDDLE  ALT=\"%2810z%2B5-3z%2B18%29%2F%2815z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287z%2B23%29%2F%2815z%29 ALIGN=MIDDLE  ALT=\"%287z%2B23%29%2F%2815z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282z%2B1%29%2F%283z%29-%28z-6%29%2F%285z%29 ALIGN=MIDDLE  ALT=\"%282z%2B1%29%2F%283z%29-%28z-6%29%2F%285z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287z%2B23%29%2F%2815z%29 ALIGN=MIDDLE  ALT=\"%287z%2B23%29%2F%2815z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282z%2B1%29%2F%283z%29-%28z-6%29%2F%285z%29=%287z%2B23%29%2F%2815z%29 ALIGN=MIDDLE  ALT=\"%282z%2B1%29%2F%283z%29-%28z-6%29%2F%285z%29=%287z%2B23%29%2F%2815z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%3C%3E0 ALIGN=MIDDLE  ALT=\"z%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "Problem:\r<BR>\n" );
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document.write( "solve<BR>\n" );
document.write( "1. 5b^2-15b=0\r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%5E2-15b=0 ALIGN=MIDDLE  ALT=\"5b%5E2-15b=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%28b-3%29=0 ALIGN=MIDDLE  ALT=\"5b%28b-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF 5b\r<BR>\n" );
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document.write( "Now set each factor equal to zero:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b=0 ALIGN=MIDDLE  ALT=\"5b=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b-3=0 ALIGN=MIDDLE  ALT=\"b-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=0 ALIGN=MIDDLE  ALT=\"b=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3 ALIGN=MIDDLE  ALT=\"b=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >    Now solve for b in each case\r<BR>\n" );
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document.write( "So our answers are \r<BR>\n" );
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